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Detectives de las Integrales Impropias

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Detectives de las Integrales Impropias

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About this activity

Reto sobre las integrales impropias

Created by

Diogenes Bellido
Diogenes Bellido
Panama

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Detectives de las Integrales Impropias
 

Detectives de las Integrales ImpropiasOnline version

Reto sobre las integrales impropias

by Diogenes Bellido
1

Una integral impropia siempre tiene dos límites negativos.

2

Una integral impropia se caracteriza por un intervalo infinito o una función que no está acotada en algún punto del intervalo.

3

Una discontinuidad interior en una integral impropia requiere evaluar mediante límites tras dividir la integral en dos partes.

4

Converge siempre cuando el límite es infinito.

5

La integral ∫_0^1 1/x dx converge.

6

El criterio de la potencia se usa para analizar muchas integrales de la forma ∫_1^∞ 1/x^p dx.

7

Una integral impropia no puede expresarse mediante límites.

8

Cuando una integral impropia tiene una discontinuidad dentro del intervalo, se divide la integral en partes y se utilizan límites.

9

Si el límite de una integral impropia es finito, decimos que la integral converge.

10

Una integral del tipo ∫_a^∞ f(x) dx es una integral impropia de primer tipo.

 
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